Question

Harold wants to build five identical pigpens side by side on his farm using 30 m of fencing. Determine the dimensions of the encloser that would give his pigs the largest possible area. Calculate the area

Answer 1

He would give his pigs 14.33 m2 area at most.

Explanation:

If he wants to give to pigs the possible largest area, pigpens should be shaped as round. He need to use 6m of fence each to build 5 identical pigpens. And radius of each pigpen will be:

`2*\pi *r=6\\r=3/\pi \\r=0.96`

and the area of the each pigpen will be:

`\pi *r^(2)=3.14*0.96^(2)  =2.87`

2.87 m2 is the area of each pigpen. In total 14.33 m2 area pigs are gonna have.